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Finding the Fourth Proportional to 514,855.01, 710,464.07 and 285,410.09

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Solution

The fourth proportional to 514,855.01, 710,464.07 and 285,410.09 is: 393,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,855.01 : 710,464.07 = 285,410.09 : x
  2. Step 2: Convert to fraction form
    514,855.01/710,464.07 = 285,410.09/x
  3. Step 3: Cross multiply
    514,855.01x = 710,464.07 × 285,410.09
  4. Step 4: Simplify right side
    514,855.01x = 202,773,609,181.10
  5. Step 5: Solve for x
    x = 202,773,609,181.10/514,855.01
  6. Step 6: Final answer
    x = 393,846.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.